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Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 3, Pages 519–541
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000716 (Mi im1153) 		 
This article is cited in 152 scientific papers (total in 152 papers)

Representable functors, Serre functors, and mutations

A. I. Bondal, M. M. Kapranov
English version PDF (1329 kB) Citations (152) Russian version article
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DOI: https://doi.org/10.1070/IM1990v035n03ABEH000716
Abstract: This paper studies the categorical version of the concept of mutations of an exceptional set, as used in the theory of vector bundles. The basic object of study is a triangulated category with a family of subcategories satisfying the so-called admissibility condition. A natural notion arising here is that of a Serre functor, effecting a certain duality in the triangulated category.
Bibliography: 16 titles.
Received: 21.06.1988
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14F05, 18E30; Secondary 18F20
Language: English
Original paper language: Russian
Citation: A. I. Bondal, M. M. Kapranov, “Representable functors, Serre functors, and mutations”, Math. USSR-Izv., 35:3 (1990), 519–541
Citation in format AMSBIB
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\by A.~I.~Bondal, M.~M.~Kapranov
\paper Representable functors, Serre functors, and mutations
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 3
\pages 519--541
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    • This publication is cited in the following 152 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:3380
    Russian version PDF:1313
    English version PDF:272
    References:186
    First page:1
     
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